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Finding the Fourth Proportional to 2,116.22, 3,174.24 and 655.32

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Solution

The fourth proportional to 2,116.22, 3,174.24 and 655.32 is: 982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.22 : 3,174.24 = 655.32 : x
  2. Step 2: Convert to fraction form
    2,116.22/3,174.24 = 655.32/x
  3. Step 3: Cross multiply
    2,116.22x = 3,174.24 × 655.32
  4. Step 4: Simplify right side
    2,116.22x = 2,080,142.96
  5. Step 5: Solve for x
    x = 2,080,142.96/2,116.22
  6. Step 6: Final answer
    x = 982.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.